Population dynamics and Burgers’ equation

David R Nelson

Physica A: Statistical Mechanics and its Applications, 1999, vol. 274, issue 1, 85-90

Abstract: A brief review of recent results [D.R. Nelson, N.M. Shnerb, Phys. Rev. E 58 (1998) 1383] connecting population dynamics in the presence of disorder and convection with a noisy Burgers’ equation is given. In the limit of high convection velocity, linearized population growth in dimensions is described by a (d−1)-dimensional Burgers’ equation with random noise. The Burgers mapping leads to universal results for the spreading and transverse profile of populations drifting downstream through a disordered medium with spatially varying growth rates.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:274:y:1999:i:1:p:85-90

DOI: 10.1016/S0378-4371(99)00321-0

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